Search a number
-
+
150152130 = 236543479
BaseRepresentation
bin10001111001100…
…10001111000010
3101110112112000000
420330302033002
5301414332010
622522140430
73502162212
oct1074621702
9343475000
10150152130
1177836577
1242351716
132515321b
1415d28242
15d2ae7c0
hex8f323c2

150152130 has 112 divisors (see below), whose sum is σ = 415514880. Its totient is φ = 39027744.

The previous prime is 150152113. The next prime is 150152141. The reversal of 150152130 is 31251051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 313231 + ... + 313709.

Almost surely, 2150152130 is an apocalyptic number.

150152130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150152130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207757440).

150152130 is an abundant number, since it is smaller than the sum of its proper divisors (265362750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150152130 is an equidigital number, since it uses as much as digits as its factorization.

150152130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150152130 is about 12253.6578212385. The cubic root of 150152130 is about 531.5088486205.

The spelling of 150152130 in words is "one hundred fifty million, one hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 479 486 645 729 774 810 958 1161 1215 1290 1437 1458 1935 2322 2395 2430 2874 3483 3645 3870 4311 4790 5805 6966 7185 7290 8622 10449 11610 12933 14370 17415 20597 20898 21555 25866 31347 34830 38799 41194 43110 52245 61791 62694 64665 77598 102985 104490 116397 123582 129330 156735 185373 193995 205970 232794 308955 313470 349191 370746 387990 556119 581985 617910 698382 926865 1112238 1163970 1668357 1745955 1853730 2780595 3336714 3491910 5005071 5561190 8341785 10010142 15015213 16683570 25025355 30030426 50050710 75076065 150152130